Hi All,
Can anyone help me in solving the following question.
To reduce the switching harmonics present in the input current of a certain buck converter, an input filter
consisting of inductor and capacitor is added as shown in Fig. 2.32. Such filters are commonly
used to meet regulations limiting conducted electromagnetic interference (EMI). For this problem, you
may assume that all inductance and capacitance values are sufficiently large, such that all ripple magnitudes
are small.
(a) Sketch the transistor current waveform
(b) Derive analytical expressions for the dc components of the capacitor voltages and inductor currents.
(c) Derive analytical expressions for the peak ripple magnitudes of the input filter inductor current
and capacitor voltage.
(d)
Given the following values:
Vg= 48 V
V=36 v
f= 100 kHz
R=6 ohms
Select values for and such that (i) the peak voltage ripple on is two percent of the dc
component and (ii) the input peak current ripple is 20mA.
Extra credit problem: Derive exact analytical expressions for (i) the dc component of the output voltage,
and (ii) the peaktopeak inductor current ripple, of the ideal buckboost converter operating in
steady state. Do not make the smallripple approximation.
Circuit is attached.
Can anyone help me in solving the following question.
To reduce the switching harmonics present in the input current of a certain buck converter, an input filter
consisting of inductor and capacitor is added as shown in Fig. 2.32. Such filters are commonly
used to meet regulations limiting conducted electromagnetic interference (EMI). For this problem, you
may assume that all inductance and capacitance values are sufficiently large, such that all ripple magnitudes
are small.
(a) Sketch the transistor current waveform
(b) Derive analytical expressions for the dc components of the capacitor voltages and inductor currents.
(c) Derive analytical expressions for the peak ripple magnitudes of the input filter inductor current
and capacitor voltage.
(d)
Given the following values:
Vg= 48 V
V=36 v
f= 100 kHz
R=6 ohms
Select values for and such that (i) the peak voltage ripple on is two percent of the dc
component and (ii) the input peak current ripple is 20mA.
Extra credit problem: Derive exact analytical expressions for (i) the dc component of the output voltage,
and (ii) the peaktopeak inductor current ripple, of the ideal buckboost converter operating in
steady state. Do not make the smallripple approximation.
Circuit is attached.
Attachments

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